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Finding the Fourth Proportional to 272,830.20, 409,245.30 and 188,849.40

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Solution

The fourth proportional to 272,830.20, 409,245.30 and 188,849.40 is: 283,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,830.20 : 409,245.30 = 188,849.40 : x
  2. Step 2: Convert to fraction form
    272,830.20/409,245.30 = 188,849.40/x
  3. Step 3: Cross multiply
    272,830.20x = 409,245.30 × 188,849.40
  4. Step 4: Simplify right side
    272,830.20x = 77,285,729,357.82
  5. Step 5: Solve for x
    x = 77,285,729,357.82/272,830.20
  6. Step 6: Final answer
    x = 283,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.